Geometric Mappings under the Perturbed Extension Operators in Complex Systems Analysis

被引：1

作者：

Wang, Chaojun ^{[1
]}

Cui, Yanyan ^{[1
,2
]}

Liu, Hao ^{[3
]}

机构：

[1] Zhoukou Normal Univ, Coll Math & Stat, Zhoukou 466001, Henan, Peoples R China

[2] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China

[3] Henan Univ, Inst Contemporary Math, Kaifeng 475001, Henan, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2017年 / 2017卷

关键词：

CONVEX MAPPINGS; BALL;

D O I：

10.1155/2017/3512326

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we mainly seek conditions on which the geometric properties of subclasses of biholomorphic mappings remain unchanged under the perturbed Roper-Suffridge extension operators. Firstly we generalize the Roper-Suffridge operator on Bergman-Hartogs domains. Secondly, applying the analytical characteristics and growth results of subclasses of biholomorphic mappings, we conclude that the generalized Roper-Suffridge operators preserve the geometric properties of strong and almost spiral-like mappings of type beta and order alpha,S-Omega(*) (beta,A,B) as well as almost spiral-like mappings of type beta and order alpha under different conditions on Bergman-Hartogs domains. Sequentially we obtain the conclusions on the unit ball B-n and for some special cases. The conclusions include and promote some known results and provide new approaches to construct biholomorphic mappings which have special geometric characteristics in several complex variables.

引用

页数：14